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Finding the Fourth Proportional to 350,714.52, 484,033.44 and 197,784.16

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Solution

The fourth proportional to 350,714.52, 484,033.44 and 197,784.16 is: 272,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,714.52 : 484,033.44 = 197,784.16 : x
  2. Step 2: Convert to fraction form
    350,714.52/484,033.44 = 197,784.16/x
  3. Step 3: Cross multiply
    350,714.52x = 484,033.44 × 197,784.16
  4. Step 4: Simplify right side
    350,714.52x = 95,734,147,342.31
  5. Step 5: Solve for x
    x = 95,734,147,342.31/350,714.52
  6. Step 6: Final answer
    x = 272,968.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.